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Fuzzy stability of quadratic functional equations in general case

EHSAN. MOVAHEDNIA|AND ROOHOLLAH ABBASI
장전수학회 (Jangjeon Mathematical Society)|2011.07|Advanced Studies in Contemporary Mathematics|제21권 제3호|pp. 263-269

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참고문헌

키워드

Fuzzy normed spacefuzzy Hyers-Ulam-Rassias stability
주제분류수학

초록

The aim of this paper is to investigate fuzzy Hyers - Ulam - Rassias stability of the general case quadratic functional equation [수식]where a, b ≥ 1 and fxed integers with a ≠ 2b^2. these functional equations are equivalent. It has proven in [1].

Abstract

The aim of this paper is to investigate fuzzy Hyers - Ulam - Rassias stability of the general case quadratic functional equation [수식]where a, b ≥ 1 and fxed integers with a ≠ 2b^2. these functional equations are equivalent. It has proven in [1].

참고문헌 (19)

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  2. S.M.Ulam, "Problems in Modern Mathematics, Chapter VI, Science Editions" (1964), Wiley
  3. D. H. Hyers, "On the stability of the linear functional equation", Proc. Nat. Acad. Sci. U.S.A, 27, pp.222~224 (1941)
  4. T. Aoki, "On the stability of the linear transformation in Banach spaces", J. Math. Soc. Japan, 2, pp.64~66 (1950)
  5. Th. M. Rassias, "On the stability of the linear mapping in Banach spaces", Proc. Amer. Math. Soc, 72, pp.297~300 (1978)
  6. S.Czerwik, "Stability of Functional Equations of UlamHyersRassias Type" (2003), Hadronic Press
  7. S.-M.Jung, "HyersUlamRassias Stability of Functional Equations in Mathematical Analysis" (2001), Hadronic Press
  8. Th.M.Rassias, "On the stability of functional equations and a problem of Ulam", Acta Appl. Math, 62, pp.123~130 (2000)
  9. F. Skof, "Local properties and approximations of operators", Rend. Sem. Mat. Fis. Milano, 53, pp.113~129 (1983)
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  11. C. Felbin, "Finite dimensional fuzzy normed linear space", Fuzzy Sets and Systems, 48, pp.239~248 (1992)
  12. J.-Z. Xiao, "Fuzzy normed spaces of operators and its completeness", Fuzzy Sets and Systems, 133, pp.389~399 (2003)
  13. T. Bag, "Finite dimensional fuzzy normed linear spaces", J. Fuzzy Math, 11(3), pp.687~705 (2003)
  14. S.C. Cheng, "Fuzzy linear operators and fuzzy normed linear spaces", Bull. Calcutta Math. Soc, 86, pp.429~436 (1994)
  15. I. Kramosil, "Fuzzy metric and statistical metric spaces", Kybernetica, 11, pp.326~334 (1975)
  16. A. K. Mirmostafaee, "Fuzzy versions of Hyers-Ulam-Rassias theorem", Fuzzy Sets and Systems, 159(6), pp.720~729 (2008)
  17. A.K.Mirmostafaee, "Fuzzy stability of the Jensen func-tional equation", Fuzzy Sets and Systems, 159(6), pp.730~738 (2008)
  18. A.K.Mirmostafaee, "Fuzzy almost quadratic functions", Results in Math-ematics, 52(1), pp.161~177 (2008)
  19. A.K.Mirmostafaee, "Fuzzy approximately cubic mappings", Information Sciences, 178(19), pp.3791~3798 (2008)

관련 논문AI추천

FUZZY STABILITY OF A GENERALIZED QUADRATIC FUNCTIONAL EQUATIONAbbas Najati대한수학회 · 대한수학회논문집2010 · 제25권 제3호ON THE FUZZY STABILITY OF QUADRATIC FUNCTIONAL EQUATIONS신동윤, 이정례, 장선영한국수학교육학회 · 이론수학과 교직수학2010 · 제17권 제1호Quadratic(ρ1, p2)-functional Equation in Fuzzy Banach Spaces신동윤, Siriluk Paokanta한국수학교육학회 · 이론수학과 교직수학2020 · 제27권 제1호FUZZY STABILITY OF QUADRATIC-CUBIC FUNCTIONAL EQUATIONS김창일, 윤용식영남수학회 · East Asian Mathematical Journal2016 · 제32권 제3호FUZZY STABILITY OF THE CAUCHY ADDITIVE AND QUADRATIC TYPE FUNCTIONAL EQUATION이양희, 진선숙대한수학회 · 대한수학회논문집2012 · 제27권 제3호The Hyers-Ulam Stability of Cubic Functrional Equations in Fuzzy Banach Spaces김창일, 윤용식영남수학회 · East Asian Mathematical Journal2014 · 제30권 제3호

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